US8649118B1 - Pattern-dependent LLR manipulation - Google Patents
Pattern-dependent LLR manipulation Download PDFInfo
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- US8649118B1 US8649118B1 US13/626,030 US201213626030A US8649118B1 US 8649118 B1 US8649118 B1 US 8649118B1 US 201213626030 A US201213626030 A US 201213626030A US 8649118 B1 US8649118 B1 US 8649118B1
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/61—Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise
- H03M13/612—Aspects specific to channel or signal-to-noise ratio estimation
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- G—PHYSICS
- G11—INFORMATION STORAGE
- G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
- G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
- G11B20/10—Digital recording or reproducing
- G11B20/18—Error detection or correction; Testing, e.g. of drop-outs
- G11B20/1833—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information
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- the present disclosure generally relates to the field of disk drive systems, and more particularly hard disk drive signal processing involving manipulation of log likelihood ratio (LLR) values at a channel detector output based upon distributions of known data.
- LLR log likelihood ratio
- the output of a hard disk drive detector can include errors, due in part to physical imperfections of the disk, jitter on detected channels which may impose noise on transition patterns, and the like.
- Detectors may process channel samples and generate a series of reliability information, such as in the form of soft bit decisions, including log likelihood ratios (LLRs). There is a need to ensure that the LLR values are reliable in order to minimize the error of the detector output.
- LLRs log likelihood ratios
- an embodiment of the present disclosure is directed to a method for pattern-dependent LLR manipulation.
- the method includes collecting a set of LLR distribution data, determining at least one of a threshold or a threshold range for each symbol of the LLR distribution data based on the set of the LLR distribution data, and monitoring an output of the hard disk drive detector.
- the output includes a plurality of symbols corresponding to the output.
- the method also includes applying a first rule to each symbol of the plurality of symbols corresponding to the output.
- the first rule includes determining whether one of a plurality of signature events occurred.
- Each signature event of the plurality of signature events includes a hard decision for a true value based upon LLR distribution patterns.
- the method When one of the plurality of signature events is determined to occur, the method includes setting a first LLR value of a symbol of the set of LLR distribution data to zero and applying a first penalty value to any other LLR value of the symbol that equals zero.
- the method also includes applying a second rule to each symbol of the plurality of symbols corresponding to the output.
- the second rule includes determining whether one of the plurality of signature events involves all but one LLR value of the symbol in the hard decision occurred.
- the method includes applying a second penalty value to all LLR values but the one LLR value.
- a further embodiment of the present disclosure is directed to a computer-readable device having computer-executable instructions for is performing a method for log likelihood ratio (LLR) manipulation of a hard disk drive detector output, where the method includes collecting a set of LLR distribution data, determining at least one of a threshold or a threshold range for each symbol of the LLR distribution data based on the set of the LLR distribution data, and monitoring an output of the hard disk drive detector.
- the output includes a plurality of symbols corresponding to the output.
- the method also includes applying a first rule to each symbol of the plurality of symbols corresponding to the output.
- the first rule includes determining whether one of a plurality of signature events occurred.
- Each signature event of the plurality of signature events includes a hard decision for a true value based upon LLR distribution patterns.
- the method When one of the plurality of signature events is determined to occur, the method includes setting a first LLR value of a symbol of the set of LLR distribution data to zero and applying a first penalty value to any other LLR value of the symbol that equals zero.
- the method also includes applying a second rule to each symbol of the plurality of symbols corresponding to the output.
- the second rule includes determining whether one of the plurality of signature events involves all but one LLR value of the symbol in the hard decision occurred.
- the method includes applying a second penalty value to all LLR values but the one LLR value.
- An additional embodiment of the present disclosure is directed to a method for log likelihood ratio (LLR) manipulation of a hard disk drive detector output.
- the method includes collecting a set of LLR distribution data, determining at least one of a threshold or a threshold range for each symbol of the LLR distribution data based on the set of the LLR distribution data, and monitoring an output of the hard disk drive detector.
- the output includes a plurality of symbols corresponding to the output, wherein each symbol includes an LLR0 value, an LLR1 value, an LLR2 value, and an LLR3 value.
- the method also includes determining whether one of a first signature event, a second signature event, a third signature event, or a fourth signature event occurred for a symbol.
- the first signature event includes the LLR2 value less than an LLR2 threshold value and the LLR3 value less than an LLR3 threshold value
- the second signature event includes the LLR0 value less than an LLR0 threshold value, the LLR3 value less than the LLR3 threshold value, and the LLR2 value between a second LLR2 threshold value and a third LLR2 threshold value
- the third signature event includes the LLR0 value less than the LLR0 threshold value, the LLR3 value less than the LLR3 threshold value, and the LLR1 value between a first LLR1 threshold value and a second LLR1 threshold value
- the fourth signature event includes the LLR0 value less than a second LLR0 threshold and the LLR3 value greater than the LLR3 threshold value.
- the method further includes, when one of the first signature event, the second signature event, the third signature event, or the fourth signature event is determined to occur for the symbol: determining which one of the first signature event, the second signature event, the third signature event, or the fourth signature event occurred and determining whether LLR0, LLR1, LLR2, or LLR3 is equal to zero, and if the first signature event is determined to occur, setting the LLR0 value to zero, and if LLR1 is determined to equal zero, applying a first penalty value to LLR1, if the second signature event is determined to occur, setting the LLR1 value to zero, and applying a second penalty value to the LLR0 value, the LLR2 value, and the LLR3 value, if the third signature event is determined to occur, setting the LLR2 value to zero, and applying a third penalty value to the LLR0 value, the LLR1 value, and the LLR3 value, and if the fourth signature event is determined to occur, setting the LLR3 value to zero, and if LLR1 is determined to equal to
- FIG. 1A is a chart of example display detector output LLR distributions based on a true value of 0;
- FIG. 1B is a chart of example display detector output LLR distributions based on a true value of 1;
- FIG. 1C is a chart of display example detector output LLR distributions based on a true value of 2;
- FIG. 1D is a chart of display example detector output LLR distributions based on a true value of 3;
- FIG. 2A is a flow diagram for manipulating LLRs from a hard disk drive detector in accordance with an implementation of the present disclosure
- FIG. 2B is a flow diagram of the first rule applied in FIG. 2A ;
- FIG. 2C is a flow diagram of the second rule applied in FIG. 2A ;
- FIG. 3 is a flow diagram for manipulating LLRs from a hard disk drive detector in accordance with another implementation of the present disclosure.
- FIG. 4 is a system for pattern-dependent LLR manipulation.
- the present disclosure provides implementations for pattern-dependent log likelihood ratio (LLR) manipulation of a hard disk drive detector output.
- LLR log likelihood ratio
- various rules for LLR manipulation at the detector output are outlined.
- the rules may provide more reliable LLR values, such as by improving signal-to-noise ratio (SNR) of the hard disk drive detector output.
- SNR signal-to-noise ratio
- LLR0, LLR1, LLR2, LLR3 For a detector codec operating based on Galois field (GF) symbols, the LLR of a GF(4) symbol may be denoted as: [LLR0, LLR1, LLR2, LLR3], where LLR0 represents the log likelihood that a symbol is 0, LLR1 represents the log likelihood that a symbol is 1, LLR2 represents the log likelihood that a symbol is 2, and LLR3 represents the log likelihood that a symbol is 3.
- a jitter dominant detector output channel may impose noise on transition patters, which may cause pattern dependency of the output LLRs.
- the LLR distribution can differ based on the true value, as shown in FIGS. 1A-1D , which display detector output LLR distributions based on a true value of 0 ( FIG. 1A ), a true value of 1 ( FIG.
- step 202 collects LLR distribution data. For instance, LLR values from a hard disk drive detector output may be collected to produce an LLR histogram (such as those shown in FIGS. 1A-1D ). It is contemplated that the data collection may occur in a training mode, which can be done in a known data mode, where what was written to the hard disk drive is known, or in a normal mode, where decoder output is collected to obtain true data. In a particular implementation, collected data is derived solely from successfully decoded sectors of the hard disk drive.
- the LLR distribution can be frozen after the training mode (e.g., after obtaining a set of distributions for each zone on the hard disk drive, or the LLR distribution can be updated on the fly with true data from decoder output (e.g., the LLR distribution is updated from sector to sector).
- Step 204 may determine at least one of a threshold or a threshold range for each symbol of the LLR distribution data based on the set of the LLR distribution data.
- the threshold values provided herein are explanatory. It is contemplated that other threshold values may occur, where the threshold values presented herein are not the only threshold values possible.
- Step 206 may monitor an output of the hard disk drive channel detector, where the output includes a plurality of symbols is corresponding to the output.
- the first rule involves determining whether a condition or signature event involving LLR values has occurred. When the condition or signature event occurs, an LLR value corresponding with the condition or signature event is set to zero, and if any LLRi value is equal to zero (other than the value set to zero in this rule), then a penalty value is applied to that LLRi value.
- the penalty value is ⁇ 4, but it is contemplated that the value of the penalty may differ depending on a desired tolerance level or the like.
- the conditions or signature events include the following (with example threshold values shown):
- the conditions or signature events may not co-exist, such that either one condition or signature event occurs or no condition or signature event occurs. Stated another way, the conditions or signature events are mutually exclusive. For example, if SIG1 occurs for a particular detector output symbol, such that LLR0 is less than ⁇ 20, LLR3 is less than ⁇ 20, and LLR2 is between ⁇ 15 and ⁇ 10, then none of SIG0, SIG2, or SIG3 will occur for that symbol.
- step 208 a determines whether a condition or signature event occurs (i.e., did SIGi occur?). If it is determined in step 208 a that SIGi did not occur, FIG. 2B illustrates the flow proceeding to step 210 (shown in FIG. 2A ). While FIG. 2B illustrates the flow proceeding to step 210 , it is contemplated that the flow may alternatively proceed to the start operation or step 202 of FIG. 2A . If it is determined in step 208 a that SIGi did occur, the flow proceeds to step 208 b .
- step 208 b the LLRi corresponding with SIGi (e.g., LLR1 corresponds with SIG1; LLR3 corresponds with SIG3, etc.) is set to zero, and any other LLR value (other than the LLRi corresponding with SIGi) that equals zero is applied a penalty value.
- step 208 b the flow proceeds to step 210 (shown in FIG. 2A ).
- the value of LLR3 is set to zero, and if LLR1 is equal to zero, a penalty value is applied to LLR1, and if LLR2 is equal to zero, a penalty value is applied to LLR2.
- the value of LLR0 should not equal zero since if SIG3 occurred, the value of LLR0 should be less than ⁇ 40. Therefore no penalty should be applied to LLR0 when SIG3 occurs.
- the value of LLR0 is set to zero, and if LLR1 is determined to equal zero, then a penalty value is applied to LLR1.
- the values of LLR2 and LLR3 should not equal zero since if SIG0 occurred, the values of LLR2 and LLR3 should each be less than ⁇ 20. Therefore no penalty should be applied to LLR2 or LLR3 when SIG0 occurs.
- the second rule may be stated as: if SIG1 or SIG2 occurs, the hard decision is unchanged, and LLRs that are unrelated to hard decisions are adjusted by a penalty value. For instance, for the hard decision related to SIG1, where upon occurrence of the conditions of SIG1, the true value is 1, the LLRs that are unrelated to the hard decision are LLR0, LLR2, and LLR3.
- the LLRs that are unrelated to the hard decision are LLR0, LLR1, and LLR3. Accordingly, when applying the second rule, when SIG1 occurs, the values of LLR0, LLR2, and LLR3 would be adjusted by a penalty value, and when SIG2 occurs, the values of LLR0, LLR1, and LLR3 would be adjusted by a penalty value.
- the penalty value is ⁇ 10, but it is contemplated that the value of the penalty may differ depending on a desired tolerance level or the like.
- step 210 A particular implementation of step 210 is shown in FIG. 2C , which shows the step 210 in detail as steps 210 a and 210 b .
- step 210 a determines whether SIG1 or SIG2 occurred. If it is determined in step 210 a that SIG1 or SIG2 did not occur, FIG. 2C illustrates the flow proceeding to step 212 (shown in FIG. 2A ). While FIG. 2C illustrates the flow proceeding to step 212 , it is contemplated that the flow may alternatively proceed to the start operation or step 202 of FIG. 2A . If it is determined in step 210 a that SIG1 or SIG2 did occur, the flow proceeds to step 210 b .
- step 210 b a penalty is applied to LLR values unrelated to the hard decision of the signature event that occurred. For instance, when SIG1 occurs, the values of LLR0, LLR2, and LLR3 would be adjusted by a penalty value, and when SIG2 occurs, the values of LLR0, LLR1, and LLR3 would be adjusted by a penalty value.
- step 210 b the flow proceeds to step 212 (shown in FIG. 2A ).
- Step 212 involves determining whether a channel condition has changed since the collection of LLR distribution data in step 202 . If no channel condition has changed, then no additional action is taken. If a channel condition has changed, then the process flows back to step 202 for new collection of LLR distribution data.
- step 302 collects LLR distribution data. For instance, LLR values from a hard disk drive detector output may be collected to produce an LLR histogram (such as those shown in FIGS. 1A-1D ). It is contemplated that the data collection may occur in a training mode, which can be done in a known data mode, where what was written to the hard disk drive is known, or in a normal mode, where decoder output is collected to obtain true data. In a particular implementation, collected data is derived solely from successfully decoded sectors of the hard disk drive.
- the LLR distribution can be frozen after the training mode (e.g., after obtaining a set of distributions for each zone on the hard disk drive, or the LLR distribution can be updated on the fly with true data from decoder output (e.g., the LLR distribution is updated from sector to sector).
- Step 304 may determine at least one of a threshold or a threshold range for each symbol of the LLR distribution data based on the set of the LLR distribution data.
- the threshold values provided herein are explanatory. It is contemplated that other threshold values may occur, where the threshold values presented herein are not the only threshold values possible.
- Step 306 may monitor an output of the hard disk drive channel detector, where the output includes a plurality of symbols corresponding to the output.
- Step 308 determines whether the condition or signature event SIG0 occurred in the collected data.
- SIG0 is the condition or signature event where the value of LLR2 is less than an LLR2 threshold value (e.g., ⁇ 20) and the value of LLR3 is less than an LLR3 threshold value (e.g., ⁇ 20). If it is determined in step 308 that SIG0 occurred, the flow proceeds to step 310 , where LLR0 is set to zero (0). From step 310 , the flow proceeds to step 312 , which determines whether the value of LLR1 is equal to zero. If it is determined in step 312 that LLR1 is equal to zero, the flow proceeds to step 314 , where a penalty value is applied to LLR1.
- the penalty value may be ⁇ 4, but it is contemplated that the value of the penalty may differ depending on a desired tolerance level or the like.
- the flow proceeds to step 316 , where it is determined if a channel condition has changed since the collection of LLR distribution data in step 302 . If no channel condition has changed, then no additional action is taken. If a channel condition has changed, then the process flows back to step 302 for new collection of LLR distribution data. If it is determined in step 312 that LLR1 is not equal to zero, then the flow proceeds to step 316 .
- SIG1 is the condition or signature event where the value of LLR0 is less than an LLR0 threshold value (e.g., ⁇ 20), the value of LLR3 is less than an LLR3 threshold value (e.g., ⁇ 20), and the value of LLR2 is between a second LLR2 threshold value (e.g., ⁇ 15) and a third LLR2 threshold value (e.g., ⁇ 10).
- step 318 If it is determined in step 318 that SIG1 occurred, the flow proceeds to step 320 , where LLR1 is set to zero and a penalty is applied to the values of LLR0, LLR2, and LLR3. From step 320 , the flow proceeds to step 316 . If it is determined in step 318 that SIG1 did not occur, then the flow proceeds to step 322 .
- step 322 a determination is made regarding whether SIG2 occurred.
- SIG2 is the condition or signature event where the value of LLR0 is less than the LLR0 threshold value (e.g., ⁇ 20), the value of LLR3 is less than the LLR3 threshold value (e.g., ⁇ 20), and the value of LLR1 is between a first LLR1 threshold value (e.g., ⁇ 15) and a second LLR1 threshold value (e.g., ⁇ 10).
- the flow proceeds to step 324 , where LLR2 is set to zero and a penalty is applied to the values of LLR0, LLR1, and LLR3. From step 324 , the flow proceeds to step 316 . If it is determined in step 322 that SIG2 did not occur, then the flow proceeds to step 326 .
- step 326 a determination is made regarding whether SIG3 occurred.
- SIG3 is the condition or signature event where the value of LLR0 is less than a second LLR0 threshold value (e.g., ⁇ 40) and the value of LLR3 is greater than the LLR3 threshold value (e.g., ⁇ 30). If it is determined in step 326 that SIG3 occurred, the flow proceeds to step 328 , where LLR3 is set to zero. The flow then proceeds to step 330 , where it is determined whether the value of LLR1 is equal to zero. If it is determined in step 330 that the value of LLR1 is equal to zero, the flow proceeds to step 332 , where a penalty is applied to LLR1.
- step 334 it is determined whether the value of LLR2 is equal to zero. If it is determined in step 334 that the value of LLR2 is equal to zero, the process flows to step 336 , where a penalty is applied to LLR2. After step 336 or if it is determined in step 334 that the value of LLR2 is not equal to zero, the process flows to step 316 . If it is determined in step 326 that SIG3 did not occur, the process flows back to the start operation.
- System 400 includes a data storage device 402 , a detector 404 , and a processing unit 406 .
- system 400 is suitable for performing the example methods outlined in FIGS. 2A-2C and 3 .
- the data storage device may 402 include a hard disk drive as a suitable data storage medium.
- the detector 404 may suitable to read data from the data storage device 402 , such as to provide LLR distribution data.
- Processing unit 406 may be configured to process the data detected by detector 404 , such as to process the LLR distribution data occurring to the methods described herein.
- Such a software package may be a computer program product which employs a computer-readable storage medium including stored computer code which is used to program a computer to perform the disclosed function and process of the present invention.
- the computer-readable medium may include, but is not limited to, any type of conventional floppy disk, optical disk, CD-ROM, magnetic disk, hard disk drive, magneto-optical disk, ROM, RAM, EPROM, EEPROM, magnetic or optical card, or any other suitable media for storing electronic instructions.
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Abstract
Description
-
- First condition (“SIG0”): LLR2 less than −20 and LLR3 less than −20; the true value is 0.
- Second condition (“SIG1”): LLR0 less than −20, LLR3 less than −20, and LLR2 between −15 and −10; the true value is 1.
- Third condition (“SIG2”): LLR0 less than −20, LLR3 less than −20, and LLR1 between −15 and −10; the true value is 2.
- Fourth condition (“SIG3”): LLR0 less than −40 and LLR3 greater than −30; the true value is 3.
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